Design of IIR Digital Differentiators Using Constrained Optimization
Signal Processing, IEEE Transactions (2014)
摘要
A new optimization method for the design of fullband and lowpass IIR digital differentiators is proposed. In the new method, the passband phase-response error is minimized under the constraint that the maximum passband amplitude-response relative error is below a prescribed level. For lowpass IIR differentiators, an additional constraint is introduced to limit the average squared amplitude response in the stopband so as to minimize any high-frequency noise that may be present. Extensive experimental results are included, which show that the differentiators designed using the proposed method have much smaller maximum phase-response error for the same passband amplitude-response error and stopband constraints when compared with several differentiators designed using state-of-the-art competing methods.
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关键词
IIR filters,low-pass filters,optimisation,signal processing,constrained optimization,full band IIR digital differentiator,low-pass IIR digital differentiator,maximum passband amplitude response relative error,optimization method,Digital differentiators,IIR filter design,design of filters by optimization
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